Theories of integration [electronic resource] : the integrals of Riemann, Lebesgue, Henstock-Kurzweil, and Mcshane /
Kurtz, Douglas S.
Theories of integration the integrals of Riemann, Lebesgue, Henstock-Kurzweil, and Mcshane / [electronic resource] : Douglas S. Kurtz, Charles W. Swartz. - River Edge, NJ : World Scientific Pub., 2004. - xiii, 268 p. : ill. - Series in real analysis ; v. 9 . - Series in real analysis ; v. 9. .
Includes bibliographical references and index.
"This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and can be used separately in teaching a portion of an introductory course on real analysis. There is a sufficient supply of exercises to make the book useful as a textbook."--BOOK JACKET.
Electronic reproduction.
Palo Alto, Calif. :
ebrary,
2009.
Available via World Wide Web.
Access may be limited to ebrary affiliated libraries.
Integrals.
Calculus, Integral.
Electronic books.
QA312 / .K86 2004eb
515/.43
Theories of integration the integrals of Riemann, Lebesgue, Henstock-Kurzweil, and Mcshane / [electronic resource] : Douglas S. Kurtz, Charles W. Swartz. - River Edge, NJ : World Scientific Pub., 2004. - xiii, 268 p. : ill. - Series in real analysis ; v. 9 . - Series in real analysis ; v. 9. .
Includes bibliographical references and index.
"This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and can be used separately in teaching a portion of an introductory course on real analysis. There is a sufficient supply of exercises to make the book useful as a textbook."--BOOK JACKET.
Electronic reproduction.
Palo Alto, Calif. :
ebrary,
2009.
Available via World Wide Web.
Access may be limited to ebrary affiliated libraries.
Integrals.
Calculus, Integral.
Electronic books.
QA312 / .K86 2004eb
515/.43